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• W2023488120 abstract "This paper systematically states the consistent first-order shear-deformation theory for laminated plates recently proposed by Qi and Knight. It assumes that only in an average sense does a straight line originally normal to the midplane remain straight and rotate relative to the normal of the midplane, and in a local sense a slight displacement perturbation around the average rotated line is also permitted after deformation. Since the curved line is very shallow, the present theory still approximates linear in-plane and constant transverse displacements through the thickness just as Reissner and Mindlin's first-order shear-deformation theory does. Reissner and Mindlin's theory leads to uniform transverse shear strain distributions by employing pointwise strain displacement relationships, and satisfies the transverse shear constitutive relationships only in an average corrected form. In contrast, Qi and Knight's theory accounts for variable transverse shear strain distributions by enforcing pointwise constitutive relationships, and relates transverse shear strains to kinematic unknowns only in a weighted-average form. Through-the-thickness transverse shear strains are thus consistent with the stress counterparts and their transverse-shear-stress-weighted-average values are just the nominal-uniform transverse shear strains which correspond to the average rotations. The new theory combines the advantages of several prevailing 2D laminated plate theories while overcoming their drawbacks. Numerical results for the cylindrical bending problem of orthotropic laminated plates exhibit excellent agreement between Qi and Knight's theory and Pagano's 3D exact elasticity results." @default.
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• W2023488120 date "1997-01-01" @default.
• W2023488120 modified "2023-10-17" @default.
• W2023488120 title "On a consistent first-order shear-deformation theory for laminated plates" @default.
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• W2023488120 doi "https://doi.org/10.1016/s1359-8368(96)00058-3" @default.
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